The assignment of credit through bills of exchange and transmission documents in Andalusi Law

The exchange traffic was a practice that suited the modus vivendi of caravanners and traders in the Islamic world. The inclusion of the Iberian.Peninsula into the most important commercial routes of Muslims – such as the silk route through the North Africa – provides a very solid reason to deepen in the study of the sources that have been preserved about the role that certain credit instruments, which represented an alternative to the coin, might have played in trade centres.

Systematic Improvement of Density Functionals through Parameter-Free Hybridization Schemes

It is suggested here that the ultimate accuracy of DFT methods arises from the type of hybridization scheme followed. This idea can be cast into a mathematical formulation utilizing an integrand connecting the noninteracting and the interacting particle system. We consider two previously developed models for it, dubbed as HYB0 and QIDH, and assess a large number of exchange-correlation functionals against the AE6, G2/148, and S22 reference data sets. An interesting consequence of these hybridization schemes is that the error bars, including the standard deviation, are found to markedly decrease with respect to the density-based (nonhybrid) case. This improvement is substantially better than variations due to the underlying density functional used. We thus finally hypothesize about the universal character of the HYB0 and QIDH models.